On the new form of Bethe ansatz equations and separation of variables in the $sl_3$ Gaudin model

A.Varchenko; E.Mukhin; V.Schechtman; V.Tarasov

On the new form of Bethe ansatz equations and separation of variables in the $sl_3$ Gaudin model

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arxiv math/0609428 v2 pith:M6QUMYAO submitted 2006-09-15 math.QA math.CA

E.Mukhin , V.Schechtman , V.Tarasov , A.Varchenko This is my paper · ORCID

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abstract

A new form of Bethe ansatz equations is introduced. A version of a separation of variables for the quantum $sl_3$ Gaudin model is presented.

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Bethe Ansatz without Nesting
hep-th 2026-07 accept novelty 7.0 of 10

Non-nested Bethe equations for gl_ℓ vector spin chains encode the full spectrum in the roots of Q1(u) alone via a hierarchy of transfer-matrix regularity conditions closing at R_ℓ=0.

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